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Two-dimensional modeling of solid phase epitaxial regrowth using level set methods.

机译:使用水平集方法对固相外延再生进行二维建模。

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摘要

Solid Phase Epitxial Regrowth (SPER) has a huge technological relevance in the formation of source/drain regions of MOS devices. Source/drain regions are patterned amorphous regions that need to be modeled in 2D/3D. The macroscopic velocity, v, of an interface between amorphous (alpha) and crystalline (c) phases (also referred to as the SPER or regrowth front/interface) is known to be a thermally-activated process with an activation energy of ∼2.7 eV. Additionally, SPER is affected by the crystal orientation of alpha-Si/c-Si interface, impurities, and applied mechanical stress.;In this work, level set model was set up to model SPER. The alpha-c Si interface propagation velocity was computed using a substrate orientation dependent velocity term along with a local interface curvature term. This velocity was fed to the advection equation of level set formulation for simulating SPER. Simulations were checked against observed TEM images of SPER of ∼120 nm deep, patterned amorphous trench at T = 500°C and at t = 1 h, 2 h and a good matching was observed for all times.;More experiments were done to confirm the presence of interface curvature term on SPER using structures containing both convex and concave interfaces. During SPER at T = 500°C, the concave interface sharpened while the convex interface flattened out. The simulations were successfully able to predict the shapes of alpha-c Si interface during SPER at all times. The experiment when repeated at a higher temperature of 575°C resulted in similar regrowth shapes implying a negligible effect of temperature on the curvature factor.;Effect of n and p dopants on patterned SPER was studied in an experiment with very low resistivity (∼0.003 ohm-cm) wafers. The results showed the isotropic nature of dopant enhancement (both p and n type) on SPER, something that extends the generalized Fermi level shifting theory (for dopant enhancement of SPER) for all substrate orientations. The results also helped de-link the curvature effect from the electronic effect of dopants on SPER. Models for dopant diffusion in amorphous Si were linked to the SPER model to get accurate dopant profile after regrowth.;Finally, the effect of uniaxial stress on patterned SPER was studied in an experiment where stresses (both tensile and compressive) upto ∼1.3 GPa were applied. The experiments showed the strong effect of in-plane uniaxial compression on regrowth shapes that resulted in the formation of mask-edge defects. The results for the tensile case were found to be exactly the same as nostress case, something that was observed previously for planar regrowth of (001) Si. The curvature factor was able to encapsulate the effect of external in-plane uniaxial stress and simulations matched up to the observed results. A more physical understanding of the curvature factor was explored using simulations with rough alpha-c Si interfaces. Ultimately, a complete 2-D model for patterned SPER was developed using level set methods for interface propagation.
机译:固相上皮再生长(SPER)在MOS器件的源/漏区的形成中具有巨大的技术意义。源极/漏极区域是需要在2D / 3D中建模的图案化非晶区域。非晶态(α)和晶态(c)相之间的界面(也称为SPER或再生前/界面)的宏观速度v是热激活过程,其激活能约为2.7 eV 。此外,SPER受α-Si/ c-Si界面的晶体取向,杂质和施加的机械应力的影响;在这项工作中,建立了水平集模型来对SPER进行建模。使用与衬底方向相关的速度项以及局部界面曲率项来计算α-cSi界面传播速度。将该速度输入到水平集公式的平流方程中,以模拟SPER。在T = 500°C和t = 1 h,2 h的条件下,对观察到的SPER的约120 nm深,图案化非晶沟槽的TEM图像进行了仿真检查,并始终观察到良好的匹配。使用包含凸形和凹形界面的结构在SPER上存在界面曲率项。在T = 500°C的SPER期间,凹形界面变尖锐,而凸形界面变平。该模拟能够成功地始终预测SPER期间的alpha-c Si界面的形状。在575°C的较高温度下重复进行该实验时,产生了相似的再生形状,这意味着温度对曲率因子的影响可以忽略不计;;在电阻率非常低的实验中(〜0.003欧姆-厘米)晶圆。结果表明,SPER上的掺杂增强(p型和n型)具有各向同性的特性,这扩展了所有衬底方向上通用的费米能级位移理论(用于SPER的掺杂增强)。结果还有助于使曲率效应与SPER上的掺杂剂电子效应脱钩。将杂质在非晶硅中的扩散模型与SPER模型联系起来,以便在长大后获得准确的掺杂物轮廓。最后,在一个实验中研究了单轴应力对图案化SPER的影响,该实验的应力(拉伸和压缩)都高达1.3 GPa。应用。实验表明,面内单轴压缩对再生长形状有很强的影响,导致形成掩模边缘缺陷。发现拉伸情况下的结果与无应力情况下的结果完全相同,这是以前观察到的(001)Si平面再生长的结果。曲率因子能够封装外部平面内单轴应力的影响,模拟结果与观察结果相符。使用具有粗糙的α-cSi界面的模拟,探索了对曲率因子的更多物理理解。最终,使用用于界面传播的水平集方法开发了用于模式化SPER的完整二维模型。

著录项

  • 作者

    Morarka, Saurabh.;

  • 作者单位

    University of Florida.;

  • 授予单位 University of Florida.;
  • 学科 Engineering Computer.;Engineering Electronics and Electrical.
  • 学位 Ph.D.
  • 年度 2009
  • 页码 129 p.
  • 总页数 129
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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